(1)/(15*)(1)/(sqrt((x-a)(x-b)))

(1)/(sqrt(15+4x-4x^(2)))

(d)/(dx)[cos^(-1)(x sqrt(x)-sqrt((1-x)(1-x^(2))))]=(1)/(sqrt(1-x^(2)))-(1)/(2sqrt(x-x^(2)))(-1)/(sqrt(1-x^(2)))-(1)/(2sqrt(x-x^(2)))(1)/(sqrt(1-x^(2)))+(1)/(2sqrt(x-x^(2)))(1)/(sqrt(1-x^(2)))0 b.1/4c.-1/4d none of these

If int_(0)^(b)(1)/(sqrt(1+x)-sqrt(x))dx=(2)/(3)(2sqrt(2)) , then b =

Examples: (1)/(cos3x+1)dx and (1)/((sqrt(x+a)+sqrt(x+b)))dx

If the equation of base of an equilateral triangle is 2x-y=1 and the vertex is (-1,2), then the length of the sides of the triangle is sqrt((20)/(3)) (b) (2)/(sqrt(15))sqrt((8)/(15)) (d) sqrt((15)/(2))

If y=sin^(-1)(xsqrt(1-x)+sqrt(x)sqrt(1-x^2)) and (dy)/(dx)=1/(2sqrt(x(1-x)))+p , then p is equal to 0 (b) 1/(sqrt(1-x)) sin^(-1)sqrt(x) (d) 1/(sqrt(1-x^2))

If y=sqrt((a-x)(x-b))-(a-b)tan^(-1)((sqrt(a-x))/(sqrt(x-b))) then (dy)/(dx)=

Differential coefficient of sec(tan^(-1)x) is (x)/(1+x^(2))( b) x sqrt(1+x^(2))(c)(1)/(sqrt(1+x^(2))) (d) (x)/(sqrt(1+x^(2)))

If int(dx)/((1+sqrt(x))sqrt(x-x^(2)))=(Asqrt(x))/(sqrt(1-x))+(B)/(sqrt(1-x))+C , where C is a real constant then A+B=